Atkin-Lehner |
2- 3- 7- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464bz |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
87146039972339712 = 213 · 34 · 7 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2235184,-1286895148] |
[a1,a2,a3,a4,a6] |
j |
301511442480992147377/21275888665122 |
j-invariant |
L |
3.9511456328993 |
L(r)(E,1)/r! |
Ω |
0.12347330053089 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558k4 |
Quadratic twists by: -4 |